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Finding the Fourth Proportional to 510.45, 704.43 and 277.58

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Solution

The fourth proportional to 510.45, 704.43 and 277.58 is: 383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.45 : 704.43 = 277.58 : x
  2. Step 2: Convert to fraction form
    510.45/704.43 = 277.58/x
  3. Step 3: Cross multiply
    510.45x = 704.43 × 277.58
  4. Step 4: Simplify right side
    510.45x = 195,532.16
  5. Step 5: Solve for x
    x = 195,532.16/510.45
  6. Step 6: Final answer
    x = 383.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.